A new modified extragradient method with line-search process for solving pseudomonotone variational inequality in Hilbert spaces

DOI10.1080/02331934.2022.2098126OpenAlexW4284960401MaRDI QIDQ6146963

No author found.

Publication date: 15 January 2024

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2022.2098126

zbMATH Keywords

strong convergencevariational inequalityHilbert spacepseudomonotone operatorextragradient method

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces
• Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
• A hybrid method without extrapolation step for solving variational inequality problems
• The subgradient extragradient method for solving variational inequalities in Hilbert space
• Korpelevich's method for variational inequality problems in Banach spaces
• Iterative method with inertial for variational inequalities in Hilbert spaces
• Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings
• A generalized projection-based scheme for solving convex constrained optimization problems
• Inertial projection-type methods for solving pseudomonotone variational inequality problems in Hilbert space
• Versions of the subgradient extragradient method for pseudomonotone variational inequalities
• Convergence of the modified extragradient method for variational inequalities with non-Lipschitz operators
• Pseudo-monotone complementarity problems in Hilbert space
• An iterative algorithm for the variational inequality problem
• Note on the modified relaxation CQ algorithm for the split feasibility problem
• Weak and strong convergence theorems for variational inequality problems
• Convergence analysis for the proximal split feasibility problem using an inertial extrapolation term method
• Inertial projection and contraction algorithms for variational inequalities
• Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems
• Modified subgradient extragradient method for variational inequality problems
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Strong convergence theorems for solving variational inequality problems with pseudo-monotone and non-Lipschitz operators
• Strong convergence of the modified inertial extragradient method with line-search process for solving variational inequality problems in Hilbert spaces
• Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
• A strong convergence theorem for Tseng's extragradient method for solving variational inequality problems
• A new low-cost double projection method for solving variational inequalities
• Two simple projection-type methods for solving variational inequalities
• Strong convergence of extragradient methods for solving bilevel pseudo-monotone variational inequality problems
• Self adaptive inertial subgradient extragradient algorithms for solving pseudomonotone variational inequality problems
• Inertial projection-type methods for solving quasi-variational inequalities in real Hilbert spaces
• Accelerated subgradient extragradient methods for variational inequality problems
• INEXACT VERSIONS OF PROXIMAL POINT AND AUGMENTED LAGRANGIAN ALGORITHMS IN BANACH SPACES
• Outer approximation methods for solving variational inequalities in Hilbert space
• Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
• Iterative Algorithms for Nonlinear Operators
• Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
• A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
• Single projection method for pseudo-monotone variational inequality in Hilbert spaces
• Modified extragradient method with Bregman distance for variational inequalities
• Modified Tseng's extragradient methods for solving pseudo-monotone variational inequalities
• Projected Reflected Gradient Methods for Monotone Variational Inequalities

This page was built for publication: A new modified extragradient method with line-search process for solving pseudomonotone variational inequality in Hilbert spaces